QUESTION IMAGE
Question
parents of kids on a soccer team often must help set up the fields before a game. a soccer goal must be centered within the penalty area. a parent walks the penalty areas width and counts 18 steps. the parent then walks the goals width and counts 6 steps. how many steps should be on either side of the goal?
Step1: Analyze the relationship
The width of the penalty - area is 18 steps and the width of the goal is 6 steps. We want to find the number of steps on each side of the goal within the penalty - area. Let the number of steps on each side be \(x\).
The equation based on the relationship is \(2x + 6=18\).
Step2: Solve the equation for \(x\)
First, subtract 6 from both sides of the equation \(2x+6 = 18\). We get \(2x=18 - 6\), so \(2x = 12\).
Then divide both sides by 2. \(x=\frac{12}{2}=6\).
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